Can I read Rational Iteration: Complex Analytic Dynamical Systems 16 on EtoBox?

Rational Iteration: Complex Analytic Dynamical Systems 16 by Norbert Steinmetz is a nonfiction available to read on EtoBox.

What is Rational Iteration: Complex Analytic Dynamical Systems 16 about?

The theory of rational iteration has its origin in long memoires by FATOU and JULIA, based on the KOEBE-POINCARE Uniformization Theorem, MONTEL'S Nor- mality Criterion and earlier work on functional equations due to BÖTTCHER, KCENIGS, LEAU, POINCARE and SCHRÖDER at the turn of the century 1 ·. FATOU and JULIA independently discovered the dichotomy of the RIEMANN sphere into the sets now bearing their names, by considering the sequence of iterates of an arbitrary non-linear rational function. More than sixty years after this fundamental work the field attracted new in- terest in the early eighties, when SULLIVAN announced the solution of the most important problem which had remained open. His no wandering domains theo- rem, on combination with the classification of periodic domains due to FATOU and CREMER, theorems of SIEGEL and ARNOL'D concerning the existence of rotation domains and SHISHIKURA'S precise bound for the number of periodic cycles, yields a rather complete description of the dynamics of a given iteration sequence (/n), that is, of the complex analytic dynamical system (/, C). The empirical discoveries due to MANDELBROT and the beautiful dynamical colour-plates, for exa

Who reads Rational Iteration: Complex Analytic Dynamical Systems 16?

Author

Norbert Steinmetz

Publisher

Walter De Gruyter Inc

Published

1993

Language

EN

ISBN

9783110889314

Category

nonfiction

Subjects

Mathematics, Stem